The Beatles neither visited nor performed in Moscow, despite frequent rumors to the contrary within the USSR, that they were either negotiating with the Soviet government or had visited there in secret.
Ironically, despite attempts by Fundamentalist preachers (most notably author David A. Noebel, in The Marxist Minstrels and other books) to assert that the Beatles were either Communists, Communist sympathizers, or pawns of Communism, after the fall of the Soviet Union it was revealed that their music (bootlegged on soundsheets and tapes) was actually a voice for freedom, that raised the morale of young people opposed to Communism.